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Finding the Fourth Proportional to 27,936.96, 41,896.49 and 9,212.79

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Solution

The fourth proportional to 27,936.96, 41,896.49 and 9,212.79 is: 13,816.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,936.96 : 41,896.49 = 9,212.79 : x
  2. Step 2: Convert to fraction form
    27,936.96/41,896.49 = 9,212.79/x
  3. Step 3: Cross multiply
    27,936.96x = 41,896.49 × 9,212.79
  4. Step 4: Simplify right side
    27,936.96x = 385,983,518.04
  5. Step 5: Solve for x
    x = 385,983,518.04/27,936.96
  6. Step 6: Final answer
    x = 13,816.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.